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Finding the Third Proportional to 19.97 and 42.89

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Solution

The third proportional to 19.97 and 42.89 is: 92.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.97 : 42.89 = 42.89 : x
  2. Step 2: Convert to fraction form
    19.97/42.89 = 42.89/x
  3. Step 3: Cross multiply
    19.97x = 42.89 × 42.89
  4. Step 4: Simplify right side
    19.97x = 1,839.61
  5. Step 5: Solve for x
    x = 1,839.61/19.97
  6. Step 6: Final answer
    x = 92.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.